Finding the Third Proportional to 37,859.98 and 82,596.02

Step by Step Solution

1. Step 1: Write the proportion equation
   37,859.98 : 82,596.02 = 82,596.02 : x
2. Step 2: Convert to fraction form
   37,859.98/82,596.02 = 82,596.02/x
3. Step 3: Cross multiply
   37,859.98x = 82,596.02 × 82,596.02
4. Step 4: Simplify right side
   37,859.98x = 6,822,103,087.69
5. Step 5: Solve for x
   x = 6,822,103,087.69/37,859.98
6. Step 6: Final answer
   x = 180,193.01